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Graceful Labeling on graph G=(V, E) is an injective function f from the set of the vertex V(G) to the set of numbers {0,1,2,...,|E(G)|} which induces bijective function f from the set of edges E(G) to the set of numbers {1,2,...,|E(G)|} such that for ...
Meliana Pasaribu+2 more
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m-Bonacci graceful labeling [PDF]
We introduce new labeling called m-bonacci graceful labeling. A graph G on n edges is m-bonacci graceful if the vertices can be labeled with distinct integers from the set such that the derived edge labels are the first n m-bonacci numbers.
Kalpana Mahalingam+1 more
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Radio Graceful Labelling of Graphs [PDF]
Radio labelling problem of graphs have their roots in communication problem known as \emph{Channel Assignment Problem}. For a simple connected graph $G=(V(G), E(G))$, a radio labeling is a mapping $f \colon V(G)\rightarrow \{0,1,2,\ldots\}$ such that $|f(
Laxman Saha, Alamgir Basunia
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The Edge Odd Graceful Labeling of Water Wheel Graphs
A graph, G=(V,E), is edge odd graceful if it possesses edge odd graceful labeling. This labeling is defined as a bijection g:E(G)→{1,3,…,2m−1}, from which an injective transformation is derived, g*:V(G)→{1,2,3,…,2m−1}, from the rule that the image of u∈V(
Mohammed Aljohani, Salama Nagy Daoud
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The concept of graph labeling was introduced in mid-1960 by Rosa. In this paper, we introduce a notion of graceful labeling of a finite poset. We obtain graceful labeling of some postes such as a chain, a fence, and a crown.
A. N. Bhavale, Dheeraj Shelke
semanticscholar +4 more sources
Super Fibonacci Graceful Labeling [PDF]
A Fibonacci graceful labeling and a super Fibonacci graceful labeling on graphs were introduced by Kathiresan and Amutha in ...
R. Sridevi+2 more
core +8 more sources
Applications of mathematical programming in graceful labeling of graphs [PDF]
Graceful labeling is one of the best known labeling methods of graphs. Despite the large number of papers published on the subject of graph labeling, there are few particular techniques to be used by researchers to gracefully label graphs. In this paper,
Kourosh Eshghi, Parham Azimi
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Polygonal Graceful Labeling of Some Simple Graphs [PDF]
Let be a graph with vertices and edges. Let andbe the vertex set and edge set of respectively. A polygonal graceful labeling of a graph is an injective function , where is a set of all non-negative integers that induces a bijection , where is the ...
A Rama Lakshmi, M P Syed Ali Nisaya
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A Noval Approach on Picture Fuzzy Graceful Labeling in Fluid flows
Graph labeling is one of the best network models in the study of fluid dynamics in the flow of particles. But the said labeling is not provided the better results to represent in any of network model having neutral membership degree in case of ambiguity.
N. Sujatha
openalex +3 more sources
Extending of Edge Even Graceful Labeling of Graphs to Strong r-Edge Even Graceful Labeling
Edge even graceful labeling of a graph G with p vertices and q edges is a bijective f from the set of edge EG to the set of positive integers 2,4,…,2q such that all the vertex labels f∗VG, given by f∗u=∑uv∈EGfuvmod2k, where k=maxp,q, are pairwise ...
Mohamed R. Zeen El Deen, Nora A. Omar
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